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Abstract

The geometry of photonic crystal waveguides with ring-shaped holes is optimized to minimize dispersion in the slow light regime. We found geometries with a nearly constant group index in excess of 20 over a wavelength range of 8 nm. The origin of the low dispersion is related to the widening of the propagating mode close to the lower band gap edge.

Dispersion relation and group index of a W1 RPhCW with a =430nm,Rout = 0.38a and Rin= 0.24a. The scatter plot shows the results of the FDTD simulations. The light line of SiO2 is shown in red in the dispersion relation.

Dispersion relation and group index of a W1 RPhCW with a = 392 nm, Rout = 0.385a and Rin= 0.235a etched into a 400 nm thick silicon layer on silica. The light line of SiO2 is shown in red in the dispersion relation.